Base | Representation |
---|---|
bin | 1100110000100… |
… | …00011110001100 |
3 | 21110101021212221 |
4 | 12120100132030 |
5 | 204344202340 |
6 | 14341505124 |
7 | 2436450064 |
oct | 630203614 |
9 | 243337787 |
10 | 107022220 |
11 | 55458418 |
12 | 2ba121a4 |
13 | 19231b76 |
14 | 102dc3a4 |
15 | 95e044a |
hex | 661078c |
107022220 has 48 divisors (see below), whose sum is σ = 235908288. Its totient is φ = 40705280.
The previous prime is 107022217. The next prime is 107022221. The reversal of 107022220 is 22220701.
It is a super-2 number, since 2×1070222202 = 22907511147456800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 107022194 and 107022203.
It is not an unprimeable number, because it can be changed into a prime (107022221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90030 + ... + 91210.
It is an arithmetic number, because the mean of its divisors is an integer number (4914756).
Almost surely, 2107022220 is an apocalyptic number.
107022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 107022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117954144).
107022220 is an abundant number, since it is smaller than the sum of its proper divisors (128886068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107022220 is a wasteful number, since it uses less digits than its factorization.
107022220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1410 (or 1408 counting only the distinct ones).
The product of its (nonzero) digits is 112, while the sum is 16.
The square root of 107022220 is about 10345.1544212738. The cubic root of 107022220 is about 474.7788000538.
Adding to 107022220 its reverse (22220701), we get a palindrome (129242921).
The spelling of 107022220 in words is "one hundred seven million, twenty-two thousand, two hundred twenty".
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